The system of equations graphed below has how many solutions? y= 2x+2, y=2x
2 answers:
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<u>Let's solve this problem step-by-step</u>
<u>Let's set</u>:
2x + 6y = 36 -- equation 1
x + 4y = 20 -- equation 2
(equation 2) * 2
2x + 8y = 40 -- equation 3
(equation 3) - (equation 1)
2y = 4
y = 2 -- equation 4
Plug (equation 4)'s value of y into (equation 2)
x + 4(2) = 20
x = 20 - 8
x = 12
<u>Thus x = 12 and y = 2</u>
<u>Let's check, by substituting these values</u>
<u>Answer: x = 12 and y = 2</u>
Hope that helps!
Answer: 60 oranges
Step-by-step explanation:
<u>Given information</u>
Weight = 75 g / orange
Total = 4.5 kg
<u>Given formula</u>
Total = Number of oranges × Average weight
<u>Convert Kilogram unit to Gram</u>
1 kg = 1000 g
4.5 kg = 4.5 × 1000 = 4500 g
<u>Substitute values into the given formula</u>
Total = Number of oranges × Average weight
Number of oranges = Total / Average weight
Number of oranges = 4500 / 75
<u>Simplify by division</u>
Hope this helps!! :)
Please let me know if you have any questions